Eukaryotic cells exhibit a diverse range of shapes, including spheroid, ovoid, cuboidal, cylindrical, flat, lenticular, fusiform, discoidal, crescent, ring, stellate, and polygonal, and some can even be irregular or change their shape. These cellular morphologies are influenced by the cell's primary function, cytoskeleton organization, cytoplasm viscosity, membrane or cell wall rigidity, and external physical pressure from the environment or adjacent cells.